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Mathematic Methods HW Solutions 54

# Mathematic Methods HW Solutions 54 - √ √ 12.15 2 E 23...

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Unformatted text preview: Chapter 11 54 √ √ 12.15 2 E 23 − E 12.14 12E 35 ∼ 15.86 = √ √ 12.16 2 2 E 1/ 2 ∼ 3.820 = √ a 12.23 T = 8 5g K 1/ 5 ; for small vibrations, T ∼ 2π 2a = 3g 13.7 13.9 13.11 13.13 13.15 13.17 13.19 13.21 13.22 13.24 Γ(4) = 3! √ 3/2 2.422 2E 1 3 ∼ 5 F arc sin 4 , 4/5 = 0.1834 − sn u dn u √ Γ(7/2) = 15 π/8 √ 1 2 B (5/4, 7/4) = 3π 2/64 1√ 2 π erfc 5 √ 54 B (2/3, 13/3) = (5/3)5 14π/ 3 4E (1/2) − 2 E (π/8, 1/2) ∼ 5.089 = 55 √ −2 π/109!! 13.8 13.10 13.12 13.14 13.16 13.18 13.20 √ √ π , 23 3 π 2 erf(1) √ 2 K 2−1/2 2.622 −1/2 −1/2 ∼ 2 K2 = 1.311 √ √ π/2 erfc(1/ 2) √ π Γ(3/4) 1 2 B (1/2, 7/4) √ 13.23 109!! π/255 √ 13.25 228 π/55!! ∼ 0.585 = ...
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